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# Sometimes you need to integrate only the “tail” of a ISBN: 9780201380279 40

## Solution for problem 4P Chapter B

An Introduction to Thermal Physics | 1st Edition

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Problem 4P

Sometimes you need to integrate only the “tail” of a Gaussian function, from some large x up to infinity: Evaluate this integral approximately as follows. First, change variables to s = t2, to obtain a simple exponential times something proportional to s−1/2. The integral is dominated by the region near its lower limit, so it makes sense to expand s−1/2

Step-by-Step Solution:

Step 1:-

We know from the properties of gaussian integration, . Step 2 of 2

##### ISBN: 9780201380279

The full step-by-step solution to problem: 4P from chapter: B was answered by , our top Physics solution expert on 07/05/17, 04:29AM. This full solution covers the following key subjects: integral, Lower, dominated, evaluate, expand. This expansive textbook survival guide covers 10 chapters, and 454 solutions. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. Since the solution to 4P from B chapter was answered, more than 242 students have viewed the full step-by-step answer. The answer to “Sometimes you need to integrate only the “tail” of a Gaussian function, from some large x up to infinity: Evaluate this integral approximately as follows. First, change variables to s = t2, to obtain a simple exponential times something proportional to s?1/2. The integral is dominated by the region near its lower limit, so it makes sense to expand s?1/2” is broken down into a number of easy to follow steps, and 60 words. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1.

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